Abstract
Hwang and El Gamal [HE92, HE95] formulated the min-cut replication problem, which is to determine min-cut replication sets for the components of a k-way partition such that the cut size of the partition is minimized after the replication. They gave an optimal algorithm for finding min-cut replication sets for a k-way partitioned digraph. However, their optimal min-cut replication algorithm does not guarantee min-cut replication sets of minimum sizes. Furthermore, their algorithm is not optimal for hypergraphs. In this paper, we optimally solve the min-area min-cut replication problem on digraphs, which is to find min-cut replication sets with the minimum sizes. More importantly, we give an optimal solution to the hypergraph min-area min-cut replication problem using a much smaller flow network model. We implemented our algorithms in a package called Hyper-MAMC, and interfaced Hyper-MAMC to the TAPIR package [HE95]. On average, Hyper-MAMC produces 57.3% fewer cut nets and runs much faster than MC-Rep in the TAPIR package, on the same initial partitions of a set of MCNC Partition93 benchmark circuits.
Original language | English |
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Title of host publication | 1995 IEEE International Conference on Computer-Aided Design, ICCAD 1995 |
Publisher | IEEE |
Pages | 216-222 |
Number of pages | 7 |
ISBN (Print) | 0818672137, 0818682000 |
DOIs | |
Publication status | Published - Nov 1995 |
Event | 1995 IEEE International Conference on Computer-Aided Design, ICCAD 1995 - San Jose, United States Duration: 5 Nov 1995 → 9 Nov 1995 https://ieeexplore.ieee.org/xpl/conhome/3472/proceeding (Link to conference proceedings) |
Publication series
Name | Proceedings of 1995 IEEE International Conference on Computer-Aided Design, ICCAD 1995 |
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Conference
Conference | 1995 IEEE International Conference on Computer-Aided Design, ICCAD 1995 |
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Country/Territory | United States |
City | San Jose |
Period | 5/11/95 → 9/11/95 |
Internet address |
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Scopus Subject Areas
- Software
- Computer Science Applications
- Computer Graphics and Computer-Aided Design